Results 11 to 20 of about 3,429,146 (271)
Zeros of some level 2 Eisenstein series [PDF]
, 2009 The zeros of classical Eisenstein series satisfy many intriguing properties. Work of F. Rankin and Swinnerton-Dyer pinpoints their location to a certain arc of the fundamental domain, and recent work by Nozaki explores their interlacing property. In this
Sharon Anne Garthwaite +3 more
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Fourier expansions of complex-valued Eisenstein series on finite upper half planes [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We consider complex-valued modular forms on finite upper half planes Hq and obtain Fourier expansions of Eisenstein series invariant under the groups Γ=SL(2,Fp) and GL(2,Fp).
Anthony Shaheen, Audrey Terras
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On cubic multisections of Eisenstein series [PDF]
The Ramanujan Journal, 2013 A systematic procedure for generating cubic multisections of Eisenstein series is given. The relevant series are determined from Fourier expansions for Eisenstein series by restricting the congruence class of the summation index modulo three.
Alaniz, Andrew, Huber, Tim
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On the Values of Eisenstein Series [PDF]
Tokyo Journal of Mathematics, 1978 Koji Katayama
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Some Eisenstein Series Identities
Journal of Number Theory, 2000 AbstractIn this paper we use the theory of elliptic functions to provide different proofs of some Eisenstein series identities of Ramanujan from those given in a recent paper by B. C. Berndt, S. Bhargava, and F. G. Garvan (1995, Trans. Amer. Math. Soc.347, 4136–4244).
Zhiguo Liu
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ON THE ZEROS OF THE EISENSTEIN SERIES FOR Γ*0(5) AND Γ*0(7)
, 2007 We locate almost all the zeros of the Eisenstein series associated with the Fricke groups of level 5 and 7 in their fundamental domains by applying and extending the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer (1970). We also use the arguments
Junichi Shigezumi
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Heegner points and Eisenstein series [PDF]
Forum Mathematicum, 2008 We give an alternative computation of the twisted second moment of critival values of class group $L$-functions attached to an imaginary quadratic field. The method avoids long calculations and yields the expected polynomial growth in the $s$-parameter for the remaining term.
Nicolas Templier
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On theta correspondences for Eisenstein series [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2007 There are three types of parabolic subgroups in $Sp(2,\mathbf{R})$. In this paper we show that the Eisenstein series with respect to the Siegel parabolic subgroup corresponds to the Eisenstein series with respect to the Jacobi parabolic subgroup by theta correspondences.
Shinji Niwa
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Zeta functions and Eisenstein series on classical groups. [PDF]
Proc Natl Acad Sci U S A, 1997 Shimura G.
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Macmahon’s sums-of-divisors and their connection to multiple Eisenstein series [PDF]
Research in Number Theory, 2023 We give explicit expressions for MacMahon's generalized sums-of-divisors $q$-series $A_r$ and $C_r$ by relating them to (odd) multiple Eisenstein series.
Henrik Bachmann
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